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Natasha_Volkova [10]
3 years ago
5

If A ⊂ B, then which of the following describes the relationship between A and B?

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

The answer is 4 alone, or 1 and 4, depending on how you interpret the symbol (see below for explanation).

The writing A \subset B means that A is a subset of B. This means that every element of A is also an element of B, while there are elements of B that are not elments of A. For example, even numbers are a subset of natural numbers: all even numbers are natural numbers, but not all natural numbers are even.

In theory, a subset could "fill" the whole superset (and thus they are the same set), but this is indicated by the writing A \subseteq B. Nevetheless, sometimes the two symbols are interchanged, and one writes A \subset B but means A \subseteq B.

You can think of this as the same difference between  x and x \leq y

So, the first point is false if you mean that A is a "strict" subset of B, while it can be true if you mean that A is generally a subset of B.

As for the second point, set B can't have less elements than set A. In this case, there would be an element in A not belonging to B, which is impossibile because B is a superset of A.

Third point: the intersection can't be the empty set (unless A is empty), because every element in A also belongs to be, and so the intersection between A and B is actually A itself.

Finally, the fourth point is true: basing on everything we said so far, B contains at least all the elements in A, and possibly some more.

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Using the approximation 3.14 for \pi what is the radius of a circle with circumference 75.4m
Charra [1.4K]

Answer:

The radius of the circle is 12.006 m.

Step-by-step explanation:

Let us assume the radius of the circle = r

Circumference  = 75.4 m

Now, CIRCUMFERENCE OF A CIRCLE = 2 π r

⇒ 75 .4 m = 2 π r

Now, putting  π = 3.14, we get:

75 .4 m = 2 (3.14)  r

⇒ 75.4 = 6. 28 r

or, r = 75.4/6.28 =  12.006

or, r  = 12.006 m

Hence, the radius of the circle with circumference 75.4 m is 12.006 m.

3 0
3 years ago
Explain how to graph the following including asymptotes and key features. f(x)=3^x+2
sattari [20]

Answer:

y=2

Step-by-step explanation:

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3 years ago
An artist agrees to paint a landscape painting at $0.30 per square inch. Formulas Show calculator Select the best answer If the
svlad2 [7]
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3 years ago
Help me find the answer
elixir [45]

Answer:

y = - \frac{1}{4} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m = \frac{-4+3}{4-0} = - \frac{1}{4}

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - \frac{1}{4} x - 3 ← equation of line

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3 years ago
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antiseptic1488 [7]
9 eggs in each carton 

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